Kinematics/Rotational Kinematics
Forces/Momentum
UCM/Gravitation
Energy/Work/Power
Torque/Center of Mass
100

An object is thrown vertically up in the air with an initial velocity of 3 m/s. At its peak, what is the acceleration and velocity of the object?

v= 0 m/s

a= -9.8 m/s2

100

What is the formula for force?

F = ma

100

What is the formula for angular acceleration?

Δω/Ξ”t

100

What are the formulas for each of the following:

a.) Gravitational Potential Energy 

b.) Kinetic Energy 

c.) Kinetic Rotational Energy 

d.) Spring Potential Energy 

a) mgh

b) 1/2 mv2

c) 1/2 Iω2

d) 1/2 kx2

100

What are the formulas for torque?

𝜏 =rF 

𝜏 = I𝛼 

𝜏 = rFsinπœƒ 

200

What are the 3 rotational kinematics formulas?

πœ”f2 = πœ”i2 + 𝛼t

πœ”f = πœ”i + 2π›Όπœƒ 

πœƒ = πœƒi + πœ”it + 1/2𝛼t2

200

Louis pushes a block with 31 N of force. He observes that it has a constant linear acceleration of 2.1 m/s2. What is the mass of the block?

14.76 kg

200

A satellite orbits at 1000 km above the surface of the earth. Recall rearth= 6400km. What is its angular velocity?

1.15 x 10-3 rad/s

200

An object has 75 J of kinetic energy and a mass of 1.5 kg. What is the velocity of the object?

10 m/s

200

A 45 g ball and a 90 g ball are connected by a 40 cm massless rod.What is the center of mass of the system?

0.267 m from the lighter ball

300

An apple is dropped off of a building and falls for 7 seconds before hitting the ground. What is the height of the building?

240.1 m

300

A racecar is traveling at a speed of 80.0 m/s on a circular racetrack of radius 450 m.

a.) What is its centripetal acceleration in m/s2?

b.) What is the centripetal force on the racecar if its mass is 500 kg?

c.) What provides the necessary centripetal force for this situation to occur?

a.) 14.2 m/s2

b.) 7.1x103 N

c.) friction between the tires and the road

300

A satellite orbits at 1000 km above the surface of the earth. Recall rearth= 6400km. What is the period of the satellite?

5460 s

300

A man lifts up a 6 kg box 2 meters in the air. What is the work done?

117.6 J

300

A rusted bolt requires 100 Nm of torque to remove. If you can only apply 45 N of torque to the wrench, what is the minimum length of the wrench needed?

2.22 m

400

A fan is spinning at 10 rad/s when the power goes out. If the fan begins slowing down at an average rate of 1.5 rad/s2, how long will it take to stop?

6.67 s

400

Small rockets are used to make tiny corrections to the speed of a satellite. If a rocket has a thrust of 35 N and is used to change the velocity of a 72,000-kg satellite by 63 cm/s, for how long should it be fired?

1.3 x 103 s

400

Calculate the acceleration due to gravity on the moon which has a mass of 7.35 x 1022 kg and a radius of 1.74 x 106 m.

1.62 m/s2

400

A new conveyor system at the local packaging plan will utilize a motor-powered mechanical arm to exert an average force of 890 N to push large crates a distance of 12 meters in 22 seconds. Determine the power output required of such a motor.

485.45 W

400

An 18 cm wrench is twisted at a 47o angle on a bolt and is applied 8 N of force. What is the torque supplied to the bolt?

1.05 Nm

500

A cat is thrown horizontally with an initial velocity of 30 m/s from a bridge. Find the cat's total speed when it enters the water 4 seconds later, assuming that air resistance is negligible.

50 m/s

500

What is the angular momentum of a 4 kg, 1 m long rod when it is rotated at 12 rad/s about its center? (Assume I = 1/12ML2)

4 kg*m/s

500

A large wind turbine (typical of the size and specifications of a turbine that you see in a modern wind farm) has three blades connected to a central hub. The blades are 50 m long and rotate at 10 rpm. 

a) What angular speed does this correspond to?

b) What is the speed of the tip of the blade?

c) What is the speed of a point 25 m from the hub?

a) 1.05 rad/s

b) 52.4 m/s

c) 26.18 m/s

500

A 450 g tin can full of a uniform, dense food rolls along the ground. If the can is 4 cm in diameter and rolls across the floor at 1.5 m/s, what is the can's total kinetic energy? (Assume the moment of inertia is 9.0x10-5 kgm2)

KEtotal = 0.75 J

500

A steal beam with a mass of 450 kg and length of 5 m extends horizontally from the edge of a building, bolted into the rood. A 65 kg worker stands at the far end of the beam. What is the total magnitude of torque on the bolts?

14210 Nm

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